This invention discloses a method for inverting the velocity of the cemented medium behind the casing based on
ultrasonic Lamb waves, relating to the field of geophysical
logging. This invention utilizes a back-casing scanning imaging
logging instrument to perform ultrasonic Lamb wave
logging and ultrasonic pulse reflection logging at various depth points, acquiring waveform records at each depth point. The casing thickness and
acoustic impedance of the cemented medium behind the casing at specified azimuths are inverted and calculated. Based on the ultrasonic Lamb wave logging waveform records, Fourier transforms are performed on the near-curved and far-curved Lamb wave full-wave waveforms at each specified
azimuth of each depth point, calculating the
phase difference between near and far-curved
Lamb waves and performing group
delay processing. Combining this with the
operating frequency band of the back-casing scanning imaging logging instrument, the frequency values corresponding to the minimum values of the group
delay at each
azimuth of each depth point are obtained. After obtaining the frequency set, the
wave velocity and medium type of the cemented medium behind the casing are determined based on the frequency values, the number of minimum frequencies, and the
acoustic impedance values at each
azimuth of the frequency set.